The proposed RANOTS will directly contribute to the success of future NASA moon, Mars, and asteroid missions planned within several research programs, especially the NASA Mars Rover program. At the end of Phase II NASA will have a compact, completely autonomous, automatic navigation system that provides fast high-accuracy tracking and positioning of rovers, moving modules, and walking astronauts. The small-sized RANOTS hardware and embedded software systems will be designed to perform real-time data processing and provide position accuracy better than 1 m and better than 1 degree roll, pitch, and yaw measurements with 95% probability per 1 hr of autonomic motion of autonomous platforms or astronauts during lunar and Mars missions. The RANOTS will allow for accurate navigation of platforms moving at significantly higher velocities (meters per second) than the maximum velocity of current Martian Exploration Vehicles (5 cm/s). The RANOTS military applications will include navigation for military vehicles, unmanned ground vehicles, and dismounted soldiers in GPS denied environments, urban areas, underground tunnels, or within large buildings, where GPS does not work properly. The RANOTS commercial applications will include use by firefighters in complex terrain or inside buildings, in step counter distance meters used for recreation and sports, and with navigation/tracking systems for mine workers and underground/underwater explorers. The RANOTS can also be used by aid agencies and personnel in automobiles when traveling in urban areas where GPS coverage can be compromised.